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Finding the Third Proportional to 277,704,346 and 597,202,261

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Solution

The third proportional to 277,704,346 and 597,202,261 is: 1,284,281,451.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,704,346 : 597,202,261 = 597,202,261 : x
  2. Step 2: Convert to fraction form
    277,704,346/597,202,261 = 597,202,261/x
  3. Step 3: Cross multiply
    277,704,346x = 597,202,261 × 597,202,261
  4. Step 4: Simplify right side
    277,704,346x = 356,650,540,543,512,128
  5. Step 5: Solve for x
    x = 356,650,540,543,512,128/277,704,346
  6. Step 6: Final answer
    x = 1,284,281,451.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.